answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dimaraw [331]
2 years ago
10

If the parabola of the form y = a(x – h)2 + k is always shifted horizontally h units and vertically k units, then its vertex is

always
Mathematics
2 answers:
Marta_Voda [28]2 years ago
8 0
The parabola defined by
y = a(x - h)² + k
has its vertex at (h,k).

After a shift by h units right, followed by a shift of k units vertically, the parabola is defined by
y = a(x - 2h)² + 2k
which has its vertex at (2h, 2k).

Answer: The vertex gets shifted by h units horizontally and k units vertically.
Ann [662]2 years ago
3 0

ans is (h,k) just took test

You might be interested in
Solve the following inequality: 38 < 4x + 3 + 7 – 3x.
DochEvi [55]
38 < 4x + 3 +7 - 3x (original equation)
38 < 4x - 3x + 3 + 7 (combine like terms)
38 < x + 10 (simplify)
38 - 10 < x + 10 - 10 (subtract 10 from both sides to get (x) alone)
28 < x (simplify)
x > 28 (switch to get x on the left (its proper equation writing >.<) ) 
7 0
2 years ago
Read 2 more answers
Kristen is 64 inches tall, and she stands 12 feet away from a streetlight. If she casts an 82-inch-long shadow, how tall is the
o-na [289]

Answer:

176.39 inches or

14.70 feet

Step-by-step explanation:

Consider the right triangle made by Kristen, ground and shadow.

This triangle has one leg as 64 inches.

Next consider the right triangle formed by street light, ground upto shadow tip.

The two triangles have common angle of elevation and also another angle as 90 degrees.

Hence the two triangles would be similar

Also if A is the angle made by hypotenuse of both triangles with the ground we have

tanx=\frac{64}{82}

This value also equals by bigger triangle as

tanx=\frac{h}{82+12(12)}=\frac{h}{226}

From these two we get

h = height of street light =\frac{226(64)}{82} =176.39

6 0
1 year ago
Math 9:The floor of conference hall can be covered completely with tiles. Its length is 36 ft longer than its width. The area of
valentina_108 [34]
What is the question?
I'm assuming it is to find the length and width.
+_= plus or minus
(X+36)
____________
| |
(X) | |
|____________|

X^2+36X-2040<0
X<-36+_(36^2-4*-2040)^(1/2)
-----------------------------------
2
X<-18+_2((591)^(1/2))
This is probably not what you wanted, sorry
8 0
2 years ago
A teacher gives a test to a large group of students. The results are closely approximated by a normal curve. The mean is 74​, wi
Alinara [238K]

Answer:

Step-by-step explanation:

Given that a teacher  gives a test to a large group of students. The results are closely approximated by a normal curve

mu =74 and sigma =8

A grade starts from 100-8 = 92nd percentile

Z score for 92nd percentile = 1.405

X score = 74+8(1.405) = 85.24

--------------------

B cut off is to next 16%

Hence C would start for scores below 100-(8+16) = 76%

76th percentile = 0.705*8+74 =79.64

6 0
2 years ago
Joey is buying plants for his garden. He wants to have at least twice as many flowering plants as nonflowering plants and a mini
vodomira [7]
(24, 12) and (36, 0).  The least amount of flowering plants occurs when x=2y, and the largest amount occurs when y=0.  These two points satisfy both conditions and both sum to 36.
7 0
1 year ago
Read 2 more answers
Other questions:
  • A train traveled 399 miles in 7 hours. Find the train's speed.
    6·2 answers
  • In the function y = 0.25x + 3.5, y represents the cost of a gallon of milk after a certain number of years, x. How much does the
    14·2 answers
  • In a data set with a range of 55.1 to 102.8 and 300 observations, there are 207 data points with values less than 88.6. find the
    15·1 answer
  • Jonas began his construction by drawing the diameter of a circle and then a line perpendicular to the diameter that goes through
    10·2 answers
  • The coordinate values of the vertices of △klm are integers. triangle klm has vertices located at (1, 1), (5, 4) and (5, 1). whic
    12·1 answer
  • As the weight of purchased items increases, the shipping charges increase, as shown in the table below. Weight, in oz Total Ship
    5·2 answers
  • A thin sheet of ice is in the form of a circle. If the ice is melting in such a way that the area of the sheet is decreasing at
    10·2 answers
  • Which graph represents an exponential function?
    10·1 answer
  • Solve this equation. Enter your answer in the box.<br> 75 – 3.5y – 4y = 4y + 6
    12·2 answers
  • The trajectory of a golf ball in a chip from the rough has a parabolic pattern. The height, in feet, of the ball is given by the
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!